Home / 1,124.19-1,685.10-776.40

Finding the Fourth Proportional to 1,124.19, 1,685.10 and 776.40

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Solution

The fourth proportional to 1,124.19, 1,685.10 and 776.40 is: 1,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.19 : 1,685.10 = 776.40 : x
  2. Step 2: Convert to fraction form
    1,124.19/1,685.10 = 776.40/x
  3. Step 3: Cross multiply
    1,124.19x = 1,685.10 × 776.40
  4. Step 4: Simplify right side
    1,124.19x = 1,308,299.33
  5. Step 5: Solve for x
    x = 1,308,299.33/1,124.19
  6. Step 6: Final answer
    x = 1,163.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.